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An inverse eigenvalue problem for Jacobi matrix

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  • Wei, Ying
  • Dai, Hua

Abstract

The paper considers an inverse eigenvalue problem of Jacobi matrix which is obtained from reconstruction of a fixed-free mass-spring system of size 2n from its spectrum and from existing physical parameters of the first half of the particles. The necessary and sufficient conditions for the solvability of the problem are derived. Two numerical algorithms and some numerical examples are given.

Suggested Citation

  • Wei, Ying & Dai, Hua, 2015. "An inverse eigenvalue problem for Jacobi matrix," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 633-642.
    • Handle: RePEc:eee:apmaco:v:251:y:2015:i:c:p:633-642
    DOI: 10.1016/j.amc.2014.11.101
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    Cited by:

    1. Xu, Wei-Ru & Bebiano, Natália & Chen, Guo-Liang, 2019. "An inverse eigenvalue problem for pseudo-Jacobi matrices," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 423-435.
    2. Gianfranco Parlangeli, 2023. "A Distributed Algorithm for the Assignment of the Laplacian Spectrum for Path Graphs," Mathematics, MDPI, vol. 11(10), pages 1-12, May.
    3. Wei, Zhaoying & Wei, Guangsheng, 2019. "A method for recovering Jacobi matrices with mixed spectral data," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 426-432.

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